Question

Integral Indefinida de $\frac{ x^{5}+2x^{2}-1}{x^{4} }$

Answer 1

Ola Felipe

∫ (x⁵ + 2x² - 1)/x⁴ dx = ∫ x dx + ∫ 2x-² dx + ∫ -1/x⁴ dx

∫ x dx = x²/2

∫ 2x-² dx = -2/x 

∫ -1/x⁴ dx = 1/(3x³) 

mmc = 6x³

∫ (x⁵ + 2x² - 1)/x⁴ dx = (3x⁵ - 12x² + 2)/(6x³)